Preheat oven to 325F. Line a cookie sheet with parchment paper. In a medium bowl, combine the almond flour, pepper, salt, and baking powder. Whisk until smooth.
Add in the basil, cayenne, and garlic, stirring until evenly combined.
Next, add in the pesto and whisk until the dough forms into coarse crumbs.
Cut the butter into the cracker mixture with a fork and combine until the dough forms into a ball.
Transfer the dough onto the prepared cookie sheet and spread it out thinly, until it's about 1 1/2-mm thick. Try and make the thickness consistent throughout to help the crackers bake evenly.
Bake for 14–17 minutes or until light golden brown in color.